Research on underwater acoustic field prediction method based on physics-informed neural network

In the field of underwater acoustic field prediction, numerical simulation methods and machine learning techniques are two commonly used methods. However, the numerical simulation method requires grid division. The machine learning method can only sometimes analyze the physical significance of the m...

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Main Authors: Libin Du, Zhengkai Wang, Zhichao Lv, Lei Wang, Dongyue Han
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-11-01
Series:Frontiers in Marine Science
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fmars.2023.1302077/full
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author Libin Du
Zhengkai Wang
Zhichao Lv
Lei Wang
Dongyue Han
author_facet Libin Du
Zhengkai Wang
Zhichao Lv
Lei Wang
Dongyue Han
author_sort Libin Du
collection DOAJ
description In the field of underwater acoustic field prediction, numerical simulation methods and machine learning techniques are two commonly used methods. However, the numerical simulation method requires grid division. The machine learning method can only sometimes analyze the physical significance of the model. To address these problems, this paper proposes an underwater acoustic field prediction method based on a physics-informed neural network (UAFP-PINN). Firstly, a loss function incorporating physical constraints is introduced, incorporating the Helmholtz equation that describes the characteristics of the underwater acoustic field. This loss function is a foundation for establishing the underwater acoustic field prediction model using a physics-informed neural network. The model takes the coordinate information of the acoustic field point as input and employs a fully connected deep neural network to output the predicted values of the coordinates. The predicted value is refined using the loss function with physical information, ensuring the trained model possesses clear physical significance. Finally, the proposed prediction model is analyzed and validated in two dimensions: the two-dimensional acoustic field and the three-dimensional acoustic field. The results show that the mean square error between the prediction and simulation values of the two-dimensional model is only 0.01. The proposed model can effectively predict the distribution of the two-dimensional underwater sound field, and the model can also predict the sound field in the three-dimensional space.
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spelling doaj.art-fd64d4b3c73344049b880517b0347a022023-11-13T02:56:32ZengFrontiers Media S.A.Frontiers in Marine Science2296-77452023-11-011010.3389/fmars.2023.13020771302077Research on underwater acoustic field prediction method based on physics-informed neural networkLibin DuZhengkai WangZhichao LvLei WangDongyue HanIn the field of underwater acoustic field prediction, numerical simulation methods and machine learning techniques are two commonly used methods. However, the numerical simulation method requires grid division. The machine learning method can only sometimes analyze the physical significance of the model. To address these problems, this paper proposes an underwater acoustic field prediction method based on a physics-informed neural network (UAFP-PINN). Firstly, a loss function incorporating physical constraints is introduced, incorporating the Helmholtz equation that describes the characteristics of the underwater acoustic field. This loss function is a foundation for establishing the underwater acoustic field prediction model using a physics-informed neural network. The model takes the coordinate information of the acoustic field point as input and employs a fully connected deep neural network to output the predicted values of the coordinates. The predicted value is refined using the loss function with physical information, ensuring the trained model possesses clear physical significance. Finally, the proposed prediction model is analyzed and validated in two dimensions: the two-dimensional acoustic field and the three-dimensional acoustic field. The results show that the mean square error between the prediction and simulation values of the two-dimensional model is only 0.01. The proposed model can effectively predict the distribution of the two-dimensional underwater sound field, and the model can also predict the sound field in the three-dimensional space.https://www.frontiersin.org/articles/10.3389/fmars.2023.1302077/fullunderwater acoustic fieldprediction modelneural networkphysical constraintsphysics-informed neural network
spellingShingle Libin Du
Zhengkai Wang
Zhichao Lv
Lei Wang
Dongyue Han
Research on underwater acoustic field prediction method based on physics-informed neural network
Frontiers in Marine Science
underwater acoustic field
prediction model
neural network
physical constraints
physics-informed neural network
title Research on underwater acoustic field prediction method based on physics-informed neural network
title_full Research on underwater acoustic field prediction method based on physics-informed neural network
title_fullStr Research on underwater acoustic field prediction method based on physics-informed neural network
title_full_unstemmed Research on underwater acoustic field prediction method based on physics-informed neural network
title_short Research on underwater acoustic field prediction method based on physics-informed neural network
title_sort research on underwater acoustic field prediction method based on physics informed neural network
topic underwater acoustic field
prediction model
neural network
physical constraints
physics-informed neural network
url https://www.frontiersin.org/articles/10.3389/fmars.2023.1302077/full
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AT leiwang researchonunderwateracousticfieldpredictionmethodbasedonphysicsinformedneuralnetwork
AT dongyuehan researchonunderwateracousticfieldpredictionmethodbasedonphysicsinformedneuralnetwork